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Tight binding models for high temperature superconductors

This page lists a set of tight-binding models that are suitable to describe high temperature superconductors

Some of the models have been compiled from the literature for comparison, others are calculated using first principles calculations or adjusted to match experimental measured quantities.
For each model, the hopping parameters are given in a comma separated file (csv), and basic plots of the band structure and Fermi surface are provided for comparison. The tight-binding file contains lines with the following format:
rx, ry, rz, a, b, Re(t), Im(t)
Here ri is the i-th component of the real space vector that describes the hopping process, a and b are integer numbers labeling the orbitals and the last two entries are the real and imaginary part of the hopping (usually given in eV).
The corresponding Bloch Hamiltonian (in orbital representation) can be obtained by a Fourier transform and summation over all lines to yield the matrix Hab.


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1 band model with further neighbor hopping parameters as deduced from ARPES experiments, compiled from the original work cited below.
M. R. Norman, M. Randeria, H. Ding, and J. C. Campuzano
Phys. Rev. B 52, 615 (1995)
Phenomenological models for the gap anisotropy of Bi2Sr2CaCu2O8 as measured by angle-resolved photoemission spectroscopy

Download model and figures: 1band_bscco_norman.tar.gz

Fermi surface of the model, compare Fig. 1 of Norman et al., PRB (1995)
Density of states with van Hove singularity due to the saddle point in the dispersion.
Plot of the eigenenergies along high symmetry directions, compare Fig. 2 of Norman et al. PRB (1995)